Exercise

EXERCISE 2.4

1. Find the complex form of the Fourier series of the periodic function f(x) = sinx, 0 < x <л.

2. Find the complex form of the Fourier series of f (x) = cos ax in -л <x<л, where a is not an integer.

3. Obtain the complex form of the Fourier series for

4. Find the complex form of the Fourier series of f (x) = sin ax where a is not an integer in - л <x<л.

5. Prove that the complex form of the Fourier series f(x) = cos zx in - л < x <л where a is not an integer, is given by

6. Find the complex form of Fourier series of